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    The Use of Spline Interpolation in Semi-Lagrangian Transport Models

    Source: Monthly Weather Review:;1998:;volume( 126 ):;issue: 007::page 2008
    Author:
    Riishøjgaard, L. P.
    ,
    Cohn, S. E.
    ,
    Li, Y.
    ,
    Ménard, R.
    DOI: 10.1175/1520-0493(1998)126<2008:TUOSII>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: The accuracy of interpolating semi-Lagrangian (SL) discretization methods depends on the choice of the interpolating function. Results from barotropic transport simulations on the sphere are presented, using either bicubic Lagrangian or bicubic spline SL discretization. The spline-based scheme is shown to generate excessively noisy fields in these simulations. The two methods are then tested in a one-dimensional advection problem. The damping and dispersion relations for the schemes are examined. The analysis and numerical experiments suggest that the excessive noise found in the spline-based simulations is a consequence of insufficient damping of the small scales for small and near-integer values of the Courant number. Inspection of the local Courant number for the two-dimensional spline-based simulation confirms this hypothesis. This noise can be controlled by adding a scale-selective diffusion term to the spline-based scheme, while retaining its excellent dispersion characteristics.
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      The Use of Spline Interpolation in Semi-Lagrangian Transport Models

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4204127
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    • Monthly Weather Review

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    contributor authorRiishøjgaard, L. P.
    contributor authorCohn, S. E.
    contributor authorLi, Y.
    contributor authorMénard, R.
    date accessioned2017-06-09T16:12:02Z
    date available2017-06-09T16:12:02Z
    date copyright1998/07/01
    date issued1998
    identifier issn0027-0644
    identifier otherams-63155.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4204127
    description abstractThe accuracy of interpolating semi-Lagrangian (SL) discretization methods depends on the choice of the interpolating function. Results from barotropic transport simulations on the sphere are presented, using either bicubic Lagrangian or bicubic spline SL discretization. The spline-based scheme is shown to generate excessively noisy fields in these simulations. The two methods are then tested in a one-dimensional advection problem. The damping and dispersion relations for the schemes are examined. The analysis and numerical experiments suggest that the excessive noise found in the spline-based simulations is a consequence of insufficient damping of the small scales for small and near-integer values of the Courant number. Inspection of the local Courant number for the two-dimensional spline-based simulation confirms this hypothesis. This noise can be controlled by adding a scale-selective diffusion term to the spline-based scheme, while retaining its excellent dispersion characteristics.
    publisherAmerican Meteorological Society
    titleThe Use of Spline Interpolation in Semi-Lagrangian Transport Models
    typeJournal Paper
    journal volume126
    journal issue7
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1998)126<2008:TUOSII>2.0.CO;2
    journal fristpage2008
    journal lastpage2016
    treeMonthly Weather Review:;1998:;volume( 126 ):;issue: 007
    contenttypeFulltext
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    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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